diff --git a/tools/FindPythonLibsNew.cmake b/tools/FindPythonLibsNew.cmake
index dc44a9df54..ad3ed48fae 100644
--- a/tools/FindPythonLibsNew.cmake
+++ b/tools/FindPythonLibsNew.cmake
@@ -50,7 +50,8 @@
 # OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 #=============================================================================
 
-if(PYTHONLIBS_FOUND)
+# Checking for the extension makes sure that `LibsNew` was found and not just `Libs`.
+if(PYTHONLIBS_FOUND AND PYTHON_MODULE_EXTENSION)
     return()
 endif()